2466428112 has 120 divisors (see below), whose sum is σ = 7016068800. Its totient is φ = 808740864.

The previous prime is 2466428039. The next prime is 2466428113. The reversal of 2466428112 is 2118246642.

2466428112 is a `hidden beast` number, since 2 + 4 + 6 + 642 + 8 + 1 + 1 + 2 = 666.

It is a super-3 number, since 3×2466428112³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2466428113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2654464 + ... + 2655392.

It is an arithmetic number, because the mean of its divisors is an integer number (58467240).

Almost surely, 2^2466428112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2466428112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508034400).

2466428112 is an abundant number, since it is smaller than the sum of its proper divisors (4549640688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2466428112 is a wasteful number, since it uses less digits than its factorization.

2466428112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1216 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 2466428112 is about 49663.1464166337. The cubic root of 2466428112 is about 1351.1062011410.

The spelling of 2466428112 in words is "two billion, four hundred sixty-six million, four hundred twenty-eight thousand, one hundred twelve".